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Finding the Third Proportional to 424,255 and 914,896

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Solution

The third proportional to 424,255 and 914,896 is: 1,972,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,255 : 914,896 = 914,896 : x
  2. Step 2: Convert to fraction form
    424,255/914,896 = 914,896/x
  3. Step 3: Cross multiply
    424,255x = 914,896 × 914,896
  4. Step 4: Simplify right side
    424,255x = 837,034,690,816
  5. Step 5: Solve for x
    x = 837,034,690,816/424,255
  6. Step 6: Final answer
    x = 1,972,951.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.